III. Let 7 and w be vectors such that 7 = (2,2,-1), ||w|| = √2, ||w|| = √2, v.w=-3, and x = (2,-1,2). 1. If u = (-2m, 2m - 2,-m²), find all possible values of m so that u is perpendicular to 7. 2. Find 2 vectors ₁ and ₂ of length 6 orthogonal to both 7 and w. 3. Determine the projection of w onto 7.
III. Let 7 and w be vectors such that 7 = (2,2,-1), ||w|| = √2, ||w|| = √2, v.w=-3, and x = (2,-1,2). 1. If u = (-2m, 2m - 2,-m²), find all possible values of m so that u is perpendicular to 7. 2. Find 2 vectors ₁ and ₂ of length 6 orthogonal to both 7 and w. 3. Determine the projection of w onto 7.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 9T
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